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MHT CET202619 April 2026Evening ShiftPhysicsMechanical Properties of FluidsActual

A metal wire of length 'L' and density 'd' floats horizontally on the free surface of water. The maximum radius of the wire does not sink in water is [ T = surface tension of water , g = gravitational acceleration]

Options

  1. A2dg T
  2. B2T dg
  3. Cdg 2T
  4. DT dg

Correct answer

B. 2T dg

Step-by-step solution

Weight of the metal wire acting downwards is W = r^2 L d g Maximum upward force due to surface tension is F = 2 T L For the wire to float without sinking, the maximum upward force must balance the weight of the wire. 2 T L = r^2 L d g r^2 = 2 T d g r = 2 T d g Answer: 2T dg

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